Number System T...

0.xyxyxyxy.... + 0.yxyxyxyx = 4/3, if x and y are natural numbers what would be the value of x + y?

The sum of first five, 3 digit prime numbers is:

If a, (a+2), (a+4)  are all prime numbers, how many such values can 'a' take?

What is the sum of all the negative two digit prime numbers?

What is the negative of sum of all the two digit prime numbers?

For the equation (2a + 3b + 9c) to be even, we must have

What is the difference between the highest and smallest 3 digit prime number?

Suppose the sum of n consecutive integers is x+(x+1) +(x+2) +(x+3)+...+(x+(n-1)) =1000, then which of the following cannot be true about the number of terms n?

What would the remainder when the square of the largest 4 digit prime number is divided by 6?

Let us consider a fraction whose denominator is smaller than the square of the numerator by unity. If we add 2 to the numerator and the denominator, the fraction will exceed1/3​; now if we subtract 3 from the numerator and the denominator, the fraction remains positive but smaller than 1/10​. Find the fraction.

If we divide a two-digit number by the sum of its digits, we get 4 as a quotient and 3 as a remainder. Now if we divide that two-digit number by the product of its digits, we get 3 as a quotient and 5 as a remainder and the two-digit number.

What two-digit number is less than the sum of the squares of its digits by 11 and exceed their doubled product by 5? 

The last three - digits of the multiplication 12345 × 54321 will be

Find the gcd (111....11 hundred ones; 11....11 sixty ones).

The remainder when 1010+10100+101000+....+1010000000000 is divided by 7 is